The volume of a sphere is related to its radius by the formula . Using algebra to invert this formula, we find that:

Name: The volume of a sphere is related to its radius by the formula . Using algebra to invert this formula, we find that:
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Question

The volume of a sphere is related to its radius by the formula  . Using algebra to invert this formula, we find that:

Quizplus · Accepted Answer

We want to solve for r, so we start by isolating r on one side of the equation.

V = (4/3) * π * r^3

Multiply both sides by 3/4π:

(3/4π)V = r^3

Take the cube root of both sides:

r = (3/4π)V^(1/3)

This matches choice B.

The Volume of a Sphere Is Related to Its Radius